Pith Number

pith:4L4AN2KQ

pith:2018:4L4AN2KQ46C3P73YC7SSKZLXQR

not attested not anchored not stored refs pending

Scattering and blowup for $L^{2}$-supercritical and $\dot{H}^{2}$-subcritical biharmonic NLS with potentials

Hua Wang, Qing Guo, Xiaohua Yao

arxiv:1810.07104 v1 · 2018-10-16 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L4AN2KQ46C3P73YC7SSKZLXQR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:03:10.402704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f806e950e785b7ff7817e52565778451e7301090e657a8c554317fbbfae173

Aliases

arxiv: 1810.07104 · arxiv_version: 1810.07104v1 · doi: 10.48550/arxiv.1810.07104 · pith_short_12: 4L4AN2KQ46C3 · pith_short_16: 4L4AN2KQ46C3P73Y · pith_short_8: 4L4AN2KQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4L4AN2KQ46C3P73YC7SSKZLXQR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e2f806e950e785b7ff7817e52565778451e7301090e657a8c554317fbbfae173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac4b2a874ce253c5c200e8a819f204a0ae4ebd8c7091ea5acb242db524b3b80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-16T16:06:20Z",
    "title_canon_sha256": "9198710dac74f31ed2fe8214f556d24084661f5b8021eeda17ca487e38f62946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07104",
    "kind": "arxiv",
    "version": 1
  }
}